{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from skimage import data,io,exposure,color\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "image=data.moon()\n",
    "plt.subplot(121)\n",
    "#image=plt.cm.gray(image)\n",
    "plt.imshow(image,plt.cm.gray) #将图变为灰度图\n",
    "arr=image.flatten()\n",
    "plt.subplot(122)\n",
    "h=plt.hist(arr,bins=256,facecolor='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "image1=exposure.equalize_hist(image)\n",
    "arr1=image1.flatten()\n",
    "plt.subplot(121)\n",
    "plt.imshow(image1,plt.cm.gray)\n",
    "plt.subplot(122)\n",
    "h=plt.hist(arr1,bins=256,facecolor='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def equalize_hist(img):\n",
    "    imhist,bins =np.histogram(img.flatten(),256,normed= True)\n",
    "    cdf = imhist.cumsum()   #\n",
    "    cdf = 256 * cdf / cdf[-1]\n",
    "    #使用累积分布函数的线性插值，计算新的像素值\n",
    "    im2 = np.interp(img.flatten(),bins[:-1],cdf)\n",
    "    #y = np.interp(x, xp, fp)\n",
    "    #x: 数组 待插入数据的横坐标.\n",
    "    #xp: 一维浮点数序列\n",
    "    #原始数据点的横坐标，如果period参数没有指定那么就必须是递增的。否则，在使用xp = xp % period正则化之后，xp在内部进行排序.\n",
    "    #fp: 一维浮点数或复数序列，原始数据点的纵坐标，和xp序列等长.\n",
    "    return im2.reshape(img.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\envs\\TF_2C\\lib\\site-packages\\ipykernel_launcher.py:2: VisibleDeprecationWarning: Passing `normed=True` on non-uniform bins has always been broken, and computes neither the probability density function nor the probability mass function. The result is only correct if the bins are uniform, when density=True will produce the same result anyway. The argument will be removed in a future version of numpy.\n",
      "  \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist_cdf=equalize_hist(image)\n",
    "plt.subplot(121)\n",
    "plt.imshow(hist_cdf,plt.cm.gray)\n",
    "arr2=hist_cdf.flatten()\n",
    "plt.subplot(122)\n",
    "h=plt.hist(arr1,bins=256,facecolor='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
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